Finite Group DatabasebetaFinite Group Databasebeta| order | 16281 |
| automorphism | ? |
| homology | Abelianization (H1) = C33×C9 · Schur multiplier (H2) = C36 |
| direct product | C33×C67⋊C9 |
| derived, Sylow | C67 ⋊ C33×C9 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C34 | C67⋊C3 |
| commutator, hypocenter | C67 | C33×C9 |
| Frattini | C3 | C33×C67⋊C3 |
| Fitting, socle, prime radical | C34×C67 | C3 |
| cosocle | C3×C67 | C34 |
| LCS | G ▷ C67 | |
| UCS | C1 ◁ C34 | |
792 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16281 |
2025 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16281, 293);